Question

draw a directed graph for Hanoi game, where I have 3 disks(LMS) and 3 rods. The initial state is LMS_0_0, that mean the 3 disks are in the first rod, the second and third rods are empty. The next state can be either (LM_S_0), or (LM_0_S).

Answer 1

To draw a directed graph for the Hanoi game with 3 disks and 3 rods, start with the initial state and create nodes for each possible next state.

Step-by-step explanation:

To draw a directed graph for the Hanoi game with 3 disks and 3 rods, we can represent each state of the game as a node in the graph. The initial state is LMS_0_0, where the 3 disks are in the first rod and the second and third rods are empty. From this initial state, there are two possible next states: (LM_S_0), where the largest disk is moved to the second rod, and (LM_0_S), where the largest disk is moved to the third rod. Each state transition can be represented by a directed edge connecting the nodes.